Home / 1,028.15-1,541.78-297.73

Finding the Fourth Proportional to 1,028.15, 1,541.78 and 297.73

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Solution

The fourth proportional to 1,028.15, 1,541.78 and 297.73 is: 446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.15 : 1,541.78 = 297.73 : x
  2. Step 2: Convert to fraction form
    1,028.15/1,541.78 = 297.73/x
  3. Step 3: Cross multiply
    1,028.15x = 1,541.78 × 297.73
  4. Step 4: Simplify right side
    1,028.15x = 459,034.16
  5. Step 5: Solve for x
    x = 459,034.16/1,028.15
  6. Step 6: Final answer
    x = 446.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.